Chain rub on the inside face of the big chainring when in the little chainring and the smallest one or two cogs is quite common. It's particularly an issue if the chainrings are a 53/39 combination. It can be reduced by fitting a longer bottom bracket axle but that can have it's downside and disrupt the chainline.

Cure: Avoid the smallest cogs in the small chainring. It called cross chaining and is hard on the chain as well as noisy.